In the below diagram, X represents the position of the University, H represents the Hospital, and S represents the Stadium. The line connecting H and S is the baseline for the bearings.
First, draw a map with the Stadium and the Hospital marked, and draw a line connecting them.
Then, from the Stadium, draw a line at a bearing of 070°. From the Hospital, draw a line at a bearing of 280°.
The University is located at the intersection of these two lines, which is where we should place the cross.
Bearings are usually measured in degrees clockwise from North, so 070° is almost due East, while 280° is slightly North of West. We can use a protractor or a compass to measure and draw these angles accurately.
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Which equation represents the total commission (c) a sales associate receives if he sells laptop computers (l) with a commission of $39.95 for each sold laptop? What's the total commission if he sells 15 laptops?
A)
l = 39.95c; $599.25
B)
c = 39.95l; $2.66
C)
l = 39.95c; $2.66
D)
c = 39.95l; $599.25
Answer:
D
Step-by-step explanation:
The total commission is the number of laptops times the commission per laptop. Thus, \(c=39.95l\).
Setting \(l=15\), \(c=39.95(15)=599.25\).
The equation of a parabola is y=2x^2 +8x +3
Write the equation in vertex form and show your work.
Answer: y = 2(x + 2)² - 5
Step-by-step explanation:
We are going to use the completing the square method to transform this quadratic equation from standard form to vertex form.
Given:
y = 2x² + 8x + 3
Factor the 2 out of the first two terms:
y = 2(x² + 4x) + 3
Add and subtract \(\frac{b}{2} ^2\):
y = 2(x² + 4x + 4 - 4) + 3
Distribute the 2 into -4 and combine with the 3:
y = 2(x² + 4x + 4) - 5
Factor (x² + 4x + 4):
y = 2(x + 2)² - 5
a hexadecimal number is a number written in the base 16 number system.
t
f
True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.
In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.
The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.
For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.
Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.
Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.
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If θ is an angle in standard position and its terminal side passes through the point (-3,4), find the exact value of tanθ in simplest radical form.
Answer:
so x = 20 , y = -21 , which is in quad IV
r^2= 400+441 = 841
r = √841 = 29
then cos Ø = 20/29
sec Ø = 29/20 = 1.45
Step-by-step explanation:
please give brainliest
Given cos 0 = 5/10 find sin 0.
The calculated value of sin of the angle is 1/2√3
Calculating the value of sin of the angleFrom the question, we have the following parameters that can be used in our computation:
cos(θ) = 5/10
The value of sin of the angle is calculated as
sin(θ) = √[1 - cos²(θ)]
Substitute the known values in the above equation, so, we have the following representation
sin(θ) = √[1 - (5/10)²]
Evaluate the difference
So, we have the following representation
sin(θ) = √[3/4]
So, we have
sin(θ) = 1/2√3
Hence, the value of sin of the angle is 1/2√3
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Triangle ABC is transformed to triangle A′ B′ C′, as shown below: A coordinate grid is shown from negative 4 to 0 to 4 on both x- and y-axes. A triangle ABC has A at ordered pair negative 1, 3, B at ordered pair 0, 1, C at ordered pair negative 3, 0. A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0. Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point) The measure of angle CAB = The measure of angle C prime B prime A prime The measure of angle BCA = The measure of angle A prime B prime C The measure of angle CAB = The measure of angle C prime A prime B prime The measure of angle BCA = The measure of angle C prime A prime B prime
The correct option when Triangle ABC is transformed to triangle A′ B′ C is A.The measure of angle BCA = The measure of angle C prime A prime B prime.
How to illustrate the triangle?Triangle ABC is changed into triangle A′B′C′ and on the x- and y-axes, a coordinate grid ranging from -4 to -4 to 4 is displayed. A is at ordered pair negative 1, 3, B is at ordered pair 0, 1, and C is at ordered pair negative 3, 0 in the triangle ABC.
A triangle Primes A, B, and C have A prime is at ordered pair minus 1, minus 3, B prime is at ordered pair minus 0, and C prime is at ordered pair minus 3, 0.
A triangle A prime B prime C prime has A prime at ordered pair negative 1, negative 3, B prime at ordered pair 0, negative 1, C prime at ordered pair negative 3, 0.
Therefore,
<BAC = <B'A'C'
<ABC = <A'B'C'
<ACB = <A'C'B'
In this case, the correct option is A.
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Find the slope of the line that passes through the given points for (9,3) and (9,4)
The slope of the line that passes through the given points for (9, 3) and (9, 4) is undefined.
How to calculate the slope of a line?In Mathematics, the slope of any straight line can be determined by using this mathematical equation;
Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Substituting the given points into the slope formula, we have the following;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (4 - 3)/(9 - 9)
Slope (m) = 1/0
Slope (m) = undefined.
In conclusion, the slope of the line is undefined because there is no change in the x-values.
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Please someone be a kind soul and help me out
Given:-
\( \textsf {5x + 4 ( 3x - 2 ) = 7 + 6 ( x - 3 )}\)\( \: \)
Solution:-
\( \textsf{5x + 4 ( 3x - 2 ) = 7 + 6 ( x - 3 )}\)\( \: \)
multiple bracelet by 4 nd 6 , we get :
\( \textsf{5x + 12x - 8 = 7 + 6x - 12}\)\( \: \)
\( \textsf {17x - 8 = 6x - 11}\)\( \: \)
\( \textsf{ \: 17x - 6x = -11+ 8 \: }\)\( \: \)
\( \textsf {\: - 11x = - 19 \: }\)\( \: \)
\( \boxed{ \sf \purple{ x = - \frac{19}{11} }}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
hope it helps ⸙
A closed container has 5.04 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams.
Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?
Answer:
Step-by-step explanation:
Each atom of the gas weighs 1.67 ⋅ 10−24 grams. 6.71 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71. ... 0.67 grams, because (5.04 + 1.67) ⋅ (1023⋅ 10−24 ) = 6.71 ⋅ 10−1.
Leonard can read 5 pages in 15 minutes. Penny can read 15 pages in 1 hour. Explain how you could use a table or graph to find how much longer it would take Penny to read a 600-page book than Leonard.
We know that:
- Leonard can read 5 pages in 15 minutes
- Penny can read 15 pages in 1 hour
And we must find how much longer it would take Penny to read a 600-page book than Leonard.
To find it we can use two tables with the information and find the time will take Leonard and Penny read a 600 pages book using rule of 3
Rule of 3:
1. Leonard:
Then, using rule of 3
\(x1=\frac{15\cdot600}{5}=1800\)So, read a 600 page book will take Leonard 1800 minutes.
2. Penny:
\(x2=\frac{60\cdot600}{15}=2400\)So, read a 600 page book will take Penny 2400 minutes.
So, the difference between Penny and Leonard would be
\(2400minutes-1800minutes=600minutes\)under what circumstances is the definitional formula easy to use? check all that apply. when there are relatively few scores and many of them are zero when the mean is a whole number and there are many scores when the mean is a whole number and there are relatively few scores when the mean is a whole number and the range is small under what circumstances is the computational formula preferred? check all that apply. when the mean is not a whole number when the range is large when the mean is negative when there are many scores
By answering the above question, we may state that by equation in cases when the mean is not a full number when the mean is negative, the range is wide, and there are many of scores
What is equation?A mathematical equation is a process that links two statements and indicates equality using the equals sign (=). A mathematics statement that proves the equality of two formalisms is known as an equation in algebra. For instance, the equal sign separates the numbers 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula may be used to understand the link between the two statements that are inscribed on opposite sides of a letter. Frequently, the trademark and the particular software are identical. like in 2x - 4 = 2, for example.
The following situations make it simple to apply the mean's definitional formula:
when the mean is a whole number and there are numerous scores when there are many scores and there are relatively few zero scores
In the following cases, the computational mean formula is preferred:
in cases when the mean is not a full number
when the mean is negative, the range is wide, and there are many of scores
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divide with work -2.48/12.4
Answer:
-0.2
Step-by-step explanation:
What are complementary and supplementary angles? How do you find the measure of an unknown angle using these relationships? Give an example and show your work.
Two angles are called complementary when their measures add up to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Complementary angles add up to 90°- example: 15° & 75° are complimentary
For example:
Suppose if one angle is x then the other angle will be 90° – x.
Now, to find the complement of 2x + 52°, subtract the given angle from 90 degrees.
90o – (2x + 52o) = 90o – 2x – 52o = -2x + 38o
The complement of 2x + 52o is 38o – 2x.
Supplementary angles add up to 180°- example: 50° & 130° are supplementary
if the two angles form a linear angle, such that, if one angle is x, then the other angle is 180° – x
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After a 5-hour flight from Newark, Harry arrived in
Denver at 2:30 pm. If the time in Newark is 2 hours
later than the time in Denver, what was the time in
Newark when Harry began the flight?
E. 10:30 am
F. 11:30 am
G. 12:30 pm
H. 3:30 pm
We need to know how to solve different time zone problems to solve this problem. The time in Newark when Harry began the flight is 11:30 am, option (F) is the correct answer.
In this question we have two cities Newark and Denver that have a time difference of 2 hours. Newark is 2hrs later than the time in Denver. The flight from Newark to Denver takes 5 hrs. Harry arrived at 2:30 pm, we need to find out at what time the flight left Newark. If we subtract 5 hrs from 2:30 pm we get 9:30 am, so when the flight left Newark it was 9:30 am in Denver, since the time in Newark is 2 hrs later than Denver, so it was 11:30 am in Newark.
Therefore the time when the flight left Newark is 11:30 am, option (F) is the correct answer.
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Which is a simplified form of the expression -5(y – 2) – 7y?
A. -12y + 10
B. 2y - 10
C. -2y + 10
D. 12y - 10
Answer:
the answer is B
Step-by-step explanation:
-5(y-2)-7y
-5y-10-7y
+7y +7y
answer: 2y-10
Answer:
A. (-12y+10)
Step-by-step explanation:
-5(y-2) - 7y can be simplified to:
-5y + 10 - 7y when you factor the parenthesis.
If you add the y's together, the answer should be:
-12y + 10.
.
1. What is the surface area of the pyramid below
6 , 5.2 ,8.2
is the line through (-4, 26, 1) and (-2, 0, -3) parallel to the line through (10, 18, 4) and (5, 3, 14)?
No, the line passing through (-4, 26) and (-2, 0) is not parallel to line passing through (10, 18) and (5, 3) because slopes of both lines are different.
Line is possible in 2-d forms so, it has only x and y-co-ordinates. Z-co-ordinates is not possible.
We know very well that to prove any two lines are parallel to each other we need to prove only whether their slopes are equal or not.
Now, talking about the slopes we know that if any line is passing from point(x₁,y₁) and again passing from other point(x₂,y₂) then slope(m) of that line is given by the formula=(y₂-y₁) / (x₂-x₁)
So, for first line we have (x₁, y₁)=(-4,26)
and (x₂, y₂)=(-2,0)
So, slope(m₁) of first line is =(0-26)/(-2 - (-4))
=>m₁ = -26/2
=>m₁ = -13 ----(eq1)
Similarly, for second line, we have (x₁, y₁)=(10,18)
and (x₂, y₂)=(5,3)
So, slope(m₂) of second line is =(3-18) / (5-10)
=>m₂ = -15/-5
=>m₂= 3 -------(eq2)
On comparing eq1 and eq2,we get
=>m₁≠m₂.
Hence, the given lines are not parallel.
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(Complete question) is:
Is the line through (-4, 26) and (-2, 0) parallel to the line through (10, 18) and (5, 3)?
A drawing of a surfboard in a catalog, it shows its length as 8 4/9 inches. Find the actual length of the surfboard if 1/3 inch length from the drawing corresponds to 3/8 foot of the actual surfboard.
Answer:
9.5 feets
Step-by-step explanation:
Length of drawing = 8 4/9 inches
Scale : 1/3 inch in drawing = 3/8 actual length
Length of drawing / drawing scale
8 4/9 = 76/9 inches
Number of 1/3 inches in total length of drawing :
76/9 ÷ 1/3
76/9 * 3 / 1
(76*3) /(9*1) = 228 /9 = 9 3/9 = 9 1/3
9 1/3 * 3/8 foot
(228 / 9) * (3 /8)
(228/3) * (1/ 8)
228 / 24
= 9.5 feet
I need help!! im stuck and dont understand and this is due at 12
Answer:
K is the midpoint of JL.
I hope this helps:)
A negatively skewed distribution has a long tail to the _____ of the distribution, and a positive skew has a long tail to the _____ of the distribution.
The long tail of a distribution with a negative skew is to the left of the distribution, whereas a distribution with a positive skew is to the right.
The skewness of a distribution serves as a gauge for its asymmetry.
The degree of a distribution's asymmetry as well as the direction in which it skews are both referred to as the distribution's skewness. When a distribution has a long tail to the left, it is said to have a negative skewness. Similar to this, positive skewness describes the lengthened right tail of a distribution. This causes a distribution with a negative skew to have a longer tail to the left than one with a positive skew, and vice versa. When calculating skewness, the total of the product of the deviation in cubes and the average amount of each deviation is multiplied by the number of data points raised to the power of three.
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is anyone expert here in data forecasting methods? I need some help in some topics like time series(holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series. please reply if you can help me with these topics
Yes, there are experts here in data forecasting methods who can help you with the topics you've mentioned including time series (holts, holts winter), naive method, regression, acf, pacf, arima, stl method and multivariate time series.
Below are brief explanations of each of these terms:
Time Series: A time series is a sequence of observations of a particular quantity measured over time. Holts Method: The Holt’s method is a forecasting method that forecasts the data by taking into account the trend component along with the level component. Holts Winter Method: Holt's winter model is used to forecast seasonal univariate time series.Naive Method: The naive method is a forecasting method that uses the most recent observation as a forecast for the next time period.Regression: Regression is a statistical method used to estimate the strength and direction of the relationship between two or more variables.ACF & PACF: Autocorrelation function (ACF) and partial autocorrelation function (PACF) are statistical tools used to determine the nature of the correlation between a variable and its lag.ARIMA: ARIMA stands for AutoRegressive Integrated Moving Average. ARIMA is a forecasting technique that uses past data points to predict future values.STL Method: STL is a time series decomposition method that separates a time series into three components: trend, seasonality, and random.Multivariate Time Series: Multivariate time series analysis deals with the analysis of time series data that involves more than one variable.Based on the topics you've mentioned, you may want to ask specific questions regarding these topics to get more detailed answers.To know more about data forecasting, visit
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A candy is in the shape of a sphere. The candy has a radius of 1.5 centimeters. Which of the following is closest to the volume of the candy? (Use 3.14 for π.)
Answer:
The answer would be 14 cm
\(V = \frac{4pi(1.5)^3}{3}\)
\(4.5pi = 14.3\)
(pi = π)
Your welcome :)
Answer:
14 cm
Step-by-step explanation:
THE SIMPLE ANSWER
-2x^2– 196 = 0
What is the discriminate?
Answer:
-784
Step-by-step explanation:
A student buys 5-cent, 10-cent, and 15-cent stamps, with a total value of $6.70. If the
number of 5-cent stamps is 2 more than the number of 10-cent stamps, while the
number of 15-cent stamps is 5 more than one half the number of 10-cent stamps, how
many 15-cent stamps did the student obtain?
15 L + 2% please help
Answer:
15.3 L
Step-by-step explanation:
1% of 15 is 15÷100=0.15
0.15×2=0.3, so 2% is 0.3
15+0.3=15.3
The triangles in each pair are similar. Find the similar triangle
Answer:
C. UVW
Step-by-step explanation:
An account earns simple annual interest.
$5200 at 7.36% for 54 months
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
Interest earned =$1722.24
New Balance of account = $6922.24
Step-by-step explanation:
An account earns simple interest.
$5200 at 7.36% for 54 months.
The principal account (P) = $5200
R = 7.36%
T = 54 months = 54/12 year = 4.5 year.
The simple interest is calculated as:
I = P × R × T/100
I = 5200 × 7.36% × 4.5/100
I = $ 1722.24
The interest earned = $1722.24
The new balance of the account is:
P + I
= 5200 + 1722.24
= $6922.24.
The new balance of account = $6922.24
what is the radius of convergence of the maclaurin series for 2x1 x2 ?
The Maclaurin series for 2x₁ x₂ converges on the open interval `(-1,1)` and diverges elsewhere.
The Maclaurin series for the function 2x₁ x₂ is given by `f(x) = ∑_(n=0)^∞ ((2x₁ x₂)^n)/n!`.
We will determine the radius of convergence of this series using the ratio test.
The ratio test states that if `lim_(n->∞) |(a_(n+1))/(a_n)| = L`, then the series is convergent if `L < 1` and divergent if `L > 1`.
If `L = 1`, the test is inconclusive.
Applying this to our Maclaurin series, we have:`|((2x₁ x₂)^(n+1))/((n+1)!)|/|((2x₁ x₂)^n)/n!|``= |2x₁ x₂|/(n+1)`
Taking the limit as n → ∞:`lim_(n->∞) |2x₁ x₂|/(n+1)``= 0`
Therefore, the ratio test is inconclusive and we cannot determine the convergence or divergence of the series. In this case, we need to use an alternative test to determine the radius of convergence. One such test is the root test.
The root test states that if `lim_(n->∞) |a_n|^(1/n) = L`, then the series is convergent if `L < 1` and divergent if `L > 1`.
If `L = 1`, the test is inconclusive.
Applying this to our Maclaurin series, we have:
`|((2x₁ x₂)^n)/n!|^(1/n)``= |2x₁ x₂|^(1/n) n^(-1/n)`
Taking the limit as n → ∞:`lim_(n->∞) |2x₁ x₂|^(1/n) n^(-1/n)``= lim_(n->∞) e^((ln|2x₁ x₂|)/n) n^(-1/n)`
This limit evaluates to 1, so we can conclude that the radius of convergence of the series is `R = 1/lim_(n->∞) |2x₁ x₂|^(1/n) n^(-1/n) = 1`.
Therefore, the Maclaurin series for 2x₁ x₂ converges on the open interval `(-1,1)` and diverges elsewhere.
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This figure is made from squares and two pairs of circle. What is the perimeter of this figure, to thr nearest unit, Can someone help me?
Answer:
103 units
Step-by-step explanation:
If we are allowed to assume that the "parts of a circle" are actually two halves of a circle, then the image has one whole circle and just a few sides of the squares. Perimeter means the distance around the outside. For circles we call the perimeter the circumference. So you may have studied a formula for circumference that is C = 2(pi)r or C = (pi)d. These circle (circle parts) have a radius of 10, because it is the same as the side of the square or a diameter of 20. Squares as you must know have all four sides being the same size. So since we have a whole circle if you put all the pieces together:
Perimeter=(pi)d + 4(10)
= (3.14)20 + 40
= 62.8 + 40
= 102.8
approximately = 103 units (that is rounded to the nearest whole unit)
Six times a number minus 12. The result is Seventy two. What is the number?
Answer:
20 is the answer
Step-by-step explanation:
From the question we can deduce the formula to be 16 + 3n = 76
3n - 76 - 16
3n = 60
n = 20
20 is the answer.
Answer:
6x14-12=72
Step-by-step explanation:
6x14=84
84-12=72